Journal of Nonlinear Mathematical Physics

Volume 27, Issue 4, September 2020, Pages 647 - 663

Decomposition of 2-Soliton Solutions for the Good Boussinesq Equations

Authors
Vesselin Vatchev
School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, One West Boulevard Brownsville, TX 78520, US, vesselin.vatchev@utrgv.edu
Received 12 November 2019, Accepted 28 January 2020, Available Online 4 September 2020.
DOI
https://doi.org/10.1080/14029251.2020.1819610How to use a DOI?
Keywords
N-Solitons, Wronskian Solutions, KdV, Boussinesq
Abstract

We consider decompositions of two-soliton solutions for the good Boussinesq equation obtained by the Hirota method and the Wronskian technique. The explicit forms of the components are used to study the dynamics of 2-soliton solutions. An interpretation in the context of eigenvalue problems arising from KdV type equations and transport equations is considered. Numerical examples are included.

Copyright
© 2020 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
27 - 4
Pages
647 - 663
Publication Date
2020/09
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2020.1819610How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Vesselin Vatchev
PY  - 2020
DA  - 2020/09
TI  - Decomposition of 2-Soliton Solutions for the Good Boussinesq Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 647
EP  - 663
VL  - 27
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2020.1819610
DO  - https://doi.org/10.1080/14029251.2020.1819610
ID  - Vatchev2020
ER  -